Affine cohomological transforms, perversity, and monodromy

Journal of the American Mathematical Society

Volumn 6, Issue 1, 1993, Pages 149-222

  Katz, Nicholas M ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968495761     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-1993-1161307-0     Document Type: Article

References (16)

1. A. A. Beilinson, I. N. Bernstein and P. Deligne, Faisceaux pervers, entire contents of Analyse et Topologie sur les espaces singuliers. I, Conference de Luminy, Astérisque, vol. 100, Soc. Math. France, Paris, 1982.
2. J.-L. Brylinski, Transformations canoniques, dualité projective, théorie de Lefschetz, transformations de Fourier et sommes trigonométriques, Astérisque, vol. 140–141, Soc. Math. France, Paris, 1986, pp. 3–134.
3. H. Davenport and D. J. Lewis, Notes on congruences (I), Quarterly J. Math. Oxford (2) 14 (1963), 51–60
4. H. Davenport and D. J. Lewis, The collected works of Harold Davenport, vol. 3, Academic Press, New York, 1977, pp. 1290–1299.
5. P. Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. 52 (1981), 313–428.
6. B. Dwork, Generalized hypergeometric functions, Clarendon Press, Oxford, 1990.
7. I. M. Gelfand, M. M. Kapranov, and A. V. Zelevinsky, Generalized Euler integrals and A-hypergeometric functions, Adv. In Math. 84 (1990), 255–271.
8. N. Katz, Exponential sums and differential equations, Ann. of Math. Stud., vol. 124, Princeton Univ. Press, Princeton, NJ, 1990.
9. ——, Monodromy of families of curves: applications of some results of Davenport-Lewis, Seminaire D.P.P. 1979/80, Birkhäuser, Basel-Boston, MA, 1981, pp. 171–195.
10. ——, On the monodromy groups attached to certain families of exponential sums, Duke Math. J. 54 (1987), 41–56.
11. ——, Perversity and exponential sums, Algebraic Number Theory—in honor of K. Iwasawa, Adv. Stud. Pure Math., vol. 17, Academic Press, New York, pp. 209–259.
12. ——, Perversity and exponential sums. II: Estimates for and inequalities among A-numbers, Proceedings of the Barsotti Memorial Conference (Padua, 1991), to appear
13. N. Katz and G. Laumon, Transformation de Fourier et majoration de sommes exponentielles, Inst. Hautes Études Sci. Publ. Math. 62 (1986), 361–418.
14. G. Laumon, Semicontinuité du conducteur de Swan (d’après P. Deligne), Caractéristique d’Euler-Poincaré, Seminaire E. N. S. 1978–79, Astérisque, vol. 82–83, Soc. Math. France, Paris, 1981, pp. 173–219.
15. H. H. Mitchell, Determination of all primitive collineation groups in more than four variables which contain homologies, Amer. J. Math. 36 (1914), 1–12.
16. A. Grothendieck, et al, Séminaire de Géométrie Algébrique du Bois-Marie, SGA 1, SGA 4 Parts I, II, and III, SGA 4(Equqtion present), SGA 5, SGA 7 Parts I and II, Lecture Notes in Math., vols. 224, 269–270–305, 569, 589, 288–340, Springer, New York, 1971 to 1977.